Rewriting input expressions in complex algebraic geometry provers

Rewriting input expressions in complex algebraic geometry provers Ann Math Artif Intell https://doi.org/10.1007/s10472-018-9590-1 Rewriting input expressions in complex algebraic geometry provers 1 2 3 Z. Kovacs ´ · T. Recio · C. Soly ´ om-Gecse © Springer International Publishing AG, part of Springer Nature 2018 Abstract We present an algorithm to help converting expressions having non-negative quantities (like distances) in Euclidean geometry theorems to be usable in a complex alge- braic geometry prover. The algorithm helps in refining the output of an existing prover, therefore it supports immediate deployment in high level prover systems. We prove that the algorithm may take doubly exponential time to produce the output in polynomial form, but in many cases it is still computable and useful. Keywords Automatic theorem proving · Automatic theorem deduction · Complex algebraic geometry · Elementary geometry · Dynamic geometry software · GeoGebra Mathematics Subject Classification (2010) 14Q99 · 13P10 · 68T15 1 Introduction A characteristic of dynamic geometry systems is the ability to support student work with textbook statements by offering an intuitive interface to construct geometry diagrams and, Z. Kovacs ´ zoltan@geogebra.org T. Recio tomas.recio@unican.es C. Solyom-Gecse ´ csilla.solyom-gecse@geogebra.at The Private University College of Education of the Diocese of Linz, Salesianumweg 3, 4020 Linz, Austria Universidad http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Mathematics and Artificial Intelligence Springer Journals

Rewriting input expressions in complex algebraic geometry provers

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Computer Science; Artificial Intelligence (incl. Robotics); Mathematics, general; Computer Science, general; Complex Systems
ISSN
1012-2443
eISSN
1573-7470
D.O.I.
10.1007/s10472-018-9590-1
Publisher site
See Article on Publisher Site

Abstract

Ann Math Artif Intell https://doi.org/10.1007/s10472-018-9590-1 Rewriting input expressions in complex algebraic geometry provers 1 2 3 Z. Kovacs ´ · T. Recio · C. Soly ´ om-Gecse © Springer International Publishing AG, part of Springer Nature 2018 Abstract We present an algorithm to help converting expressions having non-negative quantities (like distances) in Euclidean geometry theorems to be usable in a complex alge- braic geometry prover. The algorithm helps in refining the output of an existing prover, therefore it supports immediate deployment in high level prover systems. We prove that the algorithm may take doubly exponential time to produce the output in polynomial form, but in many cases it is still computable and useful. Keywords Automatic theorem proving · Automatic theorem deduction · Complex algebraic geometry · Elementary geometry · Dynamic geometry software · GeoGebra Mathematics Subject Classification (2010) 14Q99 · 13P10 · 68T15 1 Introduction A characteristic of dynamic geometry systems is the ability to support student work with textbook statements by offering an intuitive interface to construct geometry diagrams and, Z. Kovacs ´ zoltan@geogebra.org T. Recio tomas.recio@unican.es C. Solyom-Gecse ´ csilla.solyom-gecse@geogebra.at The Private University College of Education of the Diocese of Linz, Salesianumweg 3, 4020 Linz, Austria Universidad

Journal

Annals of Mathematics and Artificial IntelligenceSpringer Journals

Published: Jun 4, 2018

References

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